Least Common Multiple of 8242 and 8250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8242 and 8250 the smallest integer that is 33998250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8242 and 8250 is 33998250.

LCM(8242,8250) = 33998250

LCM of 8242 and 8250

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8242 and 8250

LCM of 8242 and 8250 is 33998250

Least common multiple can be found by multiplying the highest exponent prime factors of 8242 and 8250. First we will calculate the prime factors of 8242 and 8250.

Prime Factorization of 8242


2 8242
13 4121
317 317
1

Prime factors of 8242 are 2, 13,317. Prime factorization of 8242 in exponential form is:

8242 = 21×131×3171

Prime Factorization of 8250


2 8250
3 4125
5 1375
5 275
5 55
11 11
1

Prime factors of 8250 are 2, 3, 5,11. Prime factorization of 8250 in exponential form is:

8250 = 21×31×53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8242 and 8250.

LCM(8242,8250) = 21×31×53×111×131×3171
LCM(8242,8250) = 33998250

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1, 2, 13, 26, 317, 634, 4121, 8242

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250

Least Common Multiple of 8242 and 8250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8242 and 8250, than apply into the LCM equation.

GCF(8242,8250) = 2
LCM(8242,8250) = ( 8242 × 8250) / 2
LCM(8242,8250) = 67996500 / 2
LCM(8242,8250) = 33998250

Properties of LCM 8242 and 8250

(i) The LCM of 8250 and 8242 is associative

LCM of 8242 and 8250 = LCM of 8250 and 8242

Related Least Common Multiples of 8242

Related Least Common Multiples of 8250

Frequently Asked Questions on LCM of 8242 and 8250

1. What is the LCM of 8242 and 8250?

Answer: LCM of 8242 and 8250 is 33998250.

2. What are the Factors of 8242?

Answer: Factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242. There are 8 integers that are factors of 8242. The greatest factor of 8242 is 8242.

3. What are the Factors of 8250?

Answer: Factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250. There are 32 integers that are factors of 8250. The greatest factor of 8250 is 8250.

4. How to Find the LCM of 8242 and 8250?

Answer:

Least Common Multiple of 8242 and 8250 = 33998250

Step 1: Find the prime factorization of 8242

8242 = 2 x 13 x 317

Step 2: Find the prime factorization of 8250

8250 = 2 x 3 x 5 x 5 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 33998250 = 2 x 3 x 5 x 5 x 5 x 11 x 13 x 317

Step 4: Therefore, the least common multiple of 8242 and 8250 is 33998250.